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Finding the Fourth Proportional to 2,656.92, 4,000.89 and 1,968.47

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Solution

The fourth proportional to 2,656.92, 4,000.89 and 1,968.47 is: 2,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.92 : 4,000.89 = 1,968.47 : x
  2. Step 2: Convert to fraction form
    2,656.92/4,000.89 = 1,968.47/x
  3. Step 3: Cross multiply
    2,656.92x = 4,000.89 × 1,968.47
  4. Step 4: Simplify right side
    2,656.92x = 7,875,641.94
  5. Step 5: Solve for x
    x = 7,875,641.94/2,656.92
  6. Step 6: Final answer
    x = 2,964.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.